Which of the following expressions is equal to the total investment of a no-load mutual fund?
a.
net assets ÷ number of shares
b.
net asset value ÷ number of shares
c.
net asset value x number of shares
d.
offer price x number of shares

Answer is C

The percentage of students at the college have a GPA between 2.3 and 3.3 is C. 68.26%.

How far is 2.3 from 2.8. This will be:

= (2.3-2.8) = -0.5

That means 2.3 is one standard deviation to the left of the mean.

How far is 3.3 from 2.8? This is (3.3-2.8) = 0.5

That means 3.3 is one standard deviation to the right of the mean.

According to the empirical rule 68% of normally distributed data is within 1 standard deviation of the mean.

Therefore, the correct option is C.

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At one college GPA's are normally distributed with a mean of 2.8 and a standard deviation of .5. What percentage of students at the college have a GPA between 2.3 and 3.3?

a)84.13% b)99.74% c) 68.26% d) 95.44%

Answer:

Is it ratios? sorry if this doesnt help but is it 8/12

Step-by-step explanation:

Step-by-step explanation:

T-8=12

simplify:

you have to get unknown values on one side and known numbers on another side.

+ you need to know that when we move anything to another side of =, it changes sign.

in our case we have to leave T in right side and move -8 on left side. as I said it changes sign when we move it to other side, so you will have T=12+8 and not T=12-8...

so let's continue:

T-8=12

T=12+8

T=20

the answer is 11.3

because the circumstance formula of circle is ,

\(\pi \: d\)

Answer:

C≈524.65m

Solving for C

C=πd=π·167≈524.64597m

Answer:

x=1

Step-by-step explanation:

y=3x so just add 1+3=4 then add veriable y=4x

Answer:

59cm

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

x + 7 = 15

x = 15 - 7

x = 8

we know that only 8 + 7 gives 15 in this particular equation

is x = 8 a solution to the equation x + 7 = 15

A yes, because 8+7 is not true.

B yes, because 8+7 = 15 is true

C no, because 8+7=15 is true

D no, because 8+7=15 is not true

option B yes, because 8+7 = 15 is true

=> x + 7 = 15

=> x = 15-7

=> x = 8

-------------------------------------------------------

We know that 8+7 equals to 15.

Therefore , x = 8 is the solution of the equation x+7 = 15

Step-by-step explanation:

I just did in the other posting. how often did you post it ?

this is a trick question. the triangle at the top is not an isoceles triangle.

we use Pythagoras for an the steps.

so, the left part of the baseline (split by the height) is calculated by

12² = 10² + part²

144 = 100 + part²

part = sqrt(44) = 6.633249581... ft

the other part is then

20 - 6.633249581... = 13.36675042... ft

and the second leg of the large triangle is

leg² = 10² + 13.36675042...² = 278.6700168...

leg = 16.69341238... ft

P = 12 + 16.69341238... + 8 + 8 + 20 = 64.69341238... ft ≈

≈ 64.69 ft

please see the answer to the other posting for more details.

Let 'a' represent the unknown side of the triangle.

To solve for the unknown side, we will apply the Pythagoras theorem.

Let solve for cscθ

Let us solve for cosθ

Let us solve for tanθ

The ratio of the strawberries to the blueberries is 32 strawberries: 30 blueberries (option d).

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign that is used to represent ratio is :.

The ratio of strawberries to blueberries - total number of strawberries : total number of blueberries.

(8 x 4) : 30

32 : 30

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Answer: A. 8 strawberries: 30 blueberries

Step-by-step explanation:

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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When proving the properties of logarithms when exponents must be used, the property that is used in all of these is D. \(log_{b} (b^y) = y\)

When proving any property of logarithms that have to do with exponents, one property that should always be used is  \(log_{b} (b^y) = y\).

Expressing y as a product of \(log_{b} (b^y)\) is the most basic property of using exponents on logs because it has both product, quotient, and power rules of logarithms.

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The fraction represented by point A, it is crucial to have information about the scale, intervals, and the relative position of point A on the number line.

With these details, you can calculate the fraction accurately.

Point A on the number line represents a fraction that requires additional information to determine its precise value.

I can provide you with a general approach to finding the fraction corresponding to a given point on the number line.

A number line represents a range of values, typically with a specific scale or interval.

The scale can be divided into equal parts, such as units or fractions.

To determine the fraction represented by point A, we need to know the scale and the position of point A relative to that scale.

Let's consider a number line that ranges from 0 to 1, with evenly spaced tick marks representing tenths.

If point A is located halfway between the tick marks representing 0.4 and 0.5, then it represents the fraction 0.45 (or 9/20 in simplified form).

If the number line has a different scale or is divided into different intervals, the fraction represented by point A will be different.

Without specific details about the number line and the position of point A, it is impossible to determine the fraction precisely.

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Answer:

x = 12.5

Step-by-step explanation:

3(2x + 5) = 90 ( divide both sides by 3 )

2x + 5 = 30 ( subtract 5 from both sides )

2x = 25 ( divide both sides by 2 )

x = 12.5

6xAnswer:

6x + 15 =90

6x = 90 - 15

6x= 75

x=12.5

It requires 10.1833 cubic meter of paint to apply a coat of paint on the hemispherical shell.

The volume of a hemisphere is (2/3)πr³, where r is the radius of the hemisphere. It is half of the volume of a sphere with the same radius.

Formula for Volume of a hemisphere, V = (2/3)πr³

radius = diameter/2

=>60/2

=>30 m

dr = 0.18 cm = 0.0018 m

dV/dr = (2*3)/3 * πr²

=> dV/dr = 2πr²

=> dV = 2πr² dr

so dV = 2π*(30)²*0.0018

=> 10.1833

So , it requires 10.1833 cubic meter of paint.

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Step-by-step explanation:

points on the line: (4, -2) & (-5, 3)

gradient of the line = -5/9

general equation for all straight lines: y = mx + c

substitute one coordinate and the gradient into the equation. 3 = (-5/9)(-5) + c

therefore, c = 2/9

so the general equation is y = (-5/9)x + 2/9

Answer:

---------------

Let the numbers be s and l.

We are given that:

Set up equations:

Eliminate l:

Solve for s:

Find l:

Using the Pythagorean theorem:

BC = sqrt(13^2 - 8^2)

BC - sqrt(169 - 64)

BC = sqrt(105)

The exact dimension is sqrt105

If it needs be be in decimal format, sqrt(105) = 10.24695

The total area of the composite figure which has triangle and rectangle is  24.41 square inches

The given composite figure has two triangles and one rectangle

Area of rectangle =length × width

=4.6×3.15

=14.49 square inches

Area of left side triangle, it has base of 3.3 in and height 3.15 inches

Area of triangle = 1/2×3.3×3.15

=5.1975 square inches

Area of triangle on right side

Base = 3 in

Height = 6.3-3.15=3.15 in

Area of triangle = 1/2×3×3.15

=4.725 square inches

Total area = 14.49 + 5.1975  + 4.725

=24.41 square inches

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Answer:

y = 1/4x + 9

Step-by-step explanation:

Hello!

Equation of a line: y = mx + b

A line that is perpendicular has the opposite reciprocal slope.

Since this line has the slope -4:

Our new line is y = 1/4x + b

Next, our line goes through point (0,9). This is our y-intercept, which can be used as our "b" value. Y -intercepts have an x-value of 0.

OUr equation is y = 1/4x + 9.

Answer:

8(2m+5)

Step-by-step explanation:

GCF: 8

Factor 8 out of 16 and 40 giving you 2 and 5

DON'T FORGET TO CARRY THE M

The algebraic expression for the area is:

A = (2H - 8)*H/2

Here we want to write the expression:

"the area of a triangle that has a base 8 inches less than 2 times wider than the height."

Remember that for a triangle of base B and height H, the area is:

A = B*H/2

So if the base is 8 inches less than 2 times the height, we can write:

B = 2*H - 8

Replacing that in the area equation we get:

A = (2H - 8)*H/2

That is the equation for the area.

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Nine pencils at $0.05 each, 2. Five pencils at $0.10 each and three pencils at $0.05 each 3.Six pencils costing $0.05 apiece and three pencils costing $0.15 each. Pencils: four for $0.15 each, and five for $0.05 each.

This question uses the combination theory, which states that the total number of combinations of a set of items is equal to the number of variations in one item multiplied by the number of variations in the second item, and so on.

in this question

1. Nine pencils at $0.05 each: Kay can buy nine pencils for $0.45. Nine pencils times $0.05 each equal $0.45.

2. Five pencils at $0.10 each and three pencils at $0.05 each: Kay can buy five pencils for $0.50 and three pencils for $0.15.

Five pencils times $0.10 each equal $0.50 and three pencils times $0.05 each equal $0.15.

Adding the two totals together equals $0.45.

3. Three pencils at $0.15 each and six pencils at $0.05 each: Kay can buy three pencils for $0.45 and six pencils for $0.30.

Three pencils times $0.15 each equals $0.45 and six pencils times $0.05 each equal $0.30.

Adding the two totals together equals $0.45.

4. Four pencils at $0.15 each and five pencils at $0.05 each:

Kay can buy four pencils for $0.60 and five pencils for $0.25.

Therefore, Four pencils times $0.15 each equals $0.60 and five pencils times $0.05 each equal $0.25. Subtracting the two totals together equals $0.45.

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The 36th derivative of f(x) = cos(2x) is \(2^{17}\)* cos(2x).

To find the 36th derivative of the function f(x) = cos(2x), we can apply the chain rule repeatedly. The chain rule states that if we have a composite function y = f(g(x)), then its derivative is given by dy/dx = f'(g(x)) * g'(x).

Let's start by finding the first few derivatives of f(x) = cos(2x):

f'(x) = -2sin(2x)

f''(x) = -4cos(2x)

f'''(x) = 8sin(2x)

f''''(x) = 16cos(2x)

We observe a pattern where the derivatives of cos(2x) alternate between sin(2x) and cos(2x), with the signs changing accordingly.

Based on this pattern, we can see that the 36th derivative will be:

f^(36)(x) =\((-1)^{17} * 2^{17} *\) cos(2x)

Simplifying this expression, we have:

f^(36)(x) = \(2^{17} * cos(2x)\)

Therefore, the 36th derivative of f(x) = cos(2x) is\(2^{17\) * cos(2x).

It's important to note that in this case, the number 36 is even, and since the derivatives of cos(2x) follow a repeating pattern every 4 derivatives, the sign (-1) raised to the power of 17 accounts for the change in sign in the 36th derivative.

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Answer:

x> -1

Step-by-step explanation:

Open circle means > or <

Answer:

41

Step-by-step explanation:

53/106 = x/82 similar triangles

x=41

Answer:

100.48

Step-by-step explanation:

2 x 16 x 3.14 = 100.48